BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Convex regularization of discrete-valued inverse p
roblems - Christian Clason (Universität Duisburg-E
ssen)
DTSTART;TZID=Europe/London:20170907T161000
DTEND;TZID=Europe/London:20170907T170000
UID:TALK78271AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/78271
DESCRIPTION:We consider inverse problems where where a distri
buted parameter is known a priori to only take on
values from a given discrete set. This property
can be promoted in Tikhonov regularization with th
e aid of a suitable convex but nondifferentiable
regularization term. This allows applying standar
d approaches to show well-posedness and convergen
ce rates in Bregman distance. Using the specific p
roperties of the regularization term\, it can be
shown that convergence (albeit without rates) act
ually holds pointwise. Furthermore\, the resulting
Tikhonov functional can be minimized efficiently
using a semi-smooth Newton method. Numerical exa
mples illustrate the properties of the regulariza
tion term and the numerical solution.
Thi
s is joint work with Thi Bich Tram Do\, Florian Kr
use\, and Karl Kunisch.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
END:VEVENT
END:VCALENDAR